⊤-Nets and ⊤-Filters
محورهای موضوعی : Transactions on Fuzzy Sets and Systems
Gunther Jager
1
(School of Mechanical Engineering, University of Applied Sciences Stralsund, Stralsund, Germany.)
کلید واژه: Fuzzy topology, Convergence, ⊤-filter, ⊤-net, Strong L-topological space.,
چکیده مقاله :
In this paper, we develop a theory of ⊤-nets and study their relation to ⊤-filters. We show that convergence in strong L-topological spaces can be described by both ⊤-nets and ⊤-filters and both concepts are equivalent in the sense that definitions and proofs that are given using ⊤-filters can also be given using ⊤-nets and vice versa.
In this paper, we develop a theory of ⊤-nets and study their relation to ⊤-filters. We show that convergence in strong L-topological spaces can be described by both ⊤-nets and ⊤-filters and both concepts are equivalent in the sense that definitions and proofs that are given using ⊤-filters can also be given using ⊤-nets and vice versa.
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